Pls Help! Btw x = 2 is an incorrect answer!

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

a). Cost of 44 pupils = $14265

b). Least number of pupils = 31

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.

(a) Find the cost when there are 44 pupils.

(b) If the fee per pupil is $360.00, what is the least number of pupils for which the school can run without a loss?

Let the equation representing the total cost of maintaining a school is,

C = ax + b

Where C = Total cost of maintaining a school

a = Fee per pupil

b = Fixed running cost

x = number of pupils

a). Cost of 50 pupils = $15705

    Equation will be,

    15705 = 50a + b -------(1)

    Cost of 40 pupils = $13305

    Equation will be,

    13305 = 40a + b --------(2)

    By subtracting equation (2) from equation (1),

    15705 - 13305 = (50a + b) - (40a + b)

    2400 = 10a

    a = 240

    From equation (1),

    b = 3705

    Equation representing the total cost will be,

    C = 240x + 3705

    If x = 44

    C = 240(44) + 3705

    C = $14265

b). If the fee per pupil 'a' = $360

    Let the number of pupils = p

    Total fee of 'p' pupils = $360p

    Total cost to run the school will be = 3705 + 240p

    For the school not to be in the loss,

    360p ≥ 3705 + 240p

    360p - 240p ≥ 3705

    120p ≥ 3705

    p ≥ [tex]\frac{3705}{120}[/tex]

    p ≥ 30.875

    Therefore, to run the school without loss, number pupils should be at least 31.

The graph is attached. :D

Hope I helped you! The graph calculator is desmos. You can use it for these types of questions.

Stay safe and God bless!

- eli <3

Answer: for the whole test

1. C: x + y ≤ 8

2. C: third graph

3. A: first graph

4. D: fourth graph

5. D: last graph

6. D:0.85x + 1.29y < 5

7. B:6

8. B:3.2x + 0.8y ≤ 50

9. A: first graph

10. D: last graph

Step-by-step explanation:

how because i got an 100%

Answer:

83.80 cm³

Step-by-step explanation:

volume of cone=

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

1/3×22/7×4×4×5=1760/21= 83.80 cm³

Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

5000 - 2500 = 2500 ml

Answer:

99

Step-by-step explanation:

3/8 of 88 is 3/8 * 88 = 33.

If her number is x we can write 1/3x = 33 and when we multiply the equation by 3 to get rid of the fraction we get x = 99.

You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.

Answer:

The coin toss does not appear to be  fair

Step-by-step explanation:

 From the question we are told that

     The  sample size is  [tex]n = 400[/tex]

      The number of game won by team that won the coin toss at the beginning of overtime  [tex]x = 194[/tex]

     The level of significance is  [tex]\alpha = 0.10[/tex]

The population proportion  is  evaluated as  

                  [tex]p = \frac{194}{400}[/tex]

                 [tex]p = 0.485[/tex]

Since the population proportion is  0.485 [tex]\approx[/tex] 0.5 which implies that the coin toss is  fair then

The Null hypothesis is  

         [tex]H_o : p = 0.485[/tex]

and  The Alternative hypothesis is  

        [tex]H_a : p \ne 0.485[/tex]

The test statistics is evaluated as follows

         [tex]t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }[/tex]

substituting values  

         [tex]t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }[/tex]

         [tex]t = -0.5515[/tex]

=>     [tex]|t| = 0.5515[/tex]

now the critical value of  [tex]\alpha[/tex] for a two tail test(it is two tailed because we are test whether the critical value is  less than or greater than the test statistics ) is  

         [tex]t_{\alpha } = 1.645[/tex]

This is usually found from the critical value table  

     Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is  rejected

   This  means that the coin toss is not fair  

Answer:

1. A. 12a^2 + 8a + 4

2. C. 4xy+16x-4y^2-16y

3. C. 64q^6r^8s^4

4. A. -4x^4y^6

Step-by-step explanation:

48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.

So, the answer is A. 12a^2 + 8a + 4.

(2x-2y)(2y+8) = 4xy - 4y^2 + 16x -  16y.

So, the answer is C. 4xy+16x-4y^2-16y.

(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.

So, the answer is C. 64q^6r^8s^4.

-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.

So, the answer is A. -4x^4y^6.

Hope this helps!

Answer:

x = -59/4

Step-by-step explanation:

3 x+ 2 = -x-57

Add x to each side

3 x+x+ 2 = -x+x-57

4x+2 = -57

Subtract 2 from each side

4x +2-2 = -57-2

4x = -59

Divide each side by 4

4x/4 = -59/4

x = -59/4

Answer:

ST is 5

Step-by-step explanation:

Divide the larger triangle's BC by 3.

Answer:

380 tickets were sold at the door and 440 tickets were sold before

Step-by-step explanation:

x = tickets sold before

y = tickets sold at the door

x + y = 820

x = y + 80

y + 80 + y = 820

   -80           -80

2y = 740

y = 370

820 - 380 = 440

x = 440

Answer:

[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]

Step-by-step explanation:

hello,

let's try to divide by 7 329 it comes

329 = 47 * 7

and 329 is not divisible by 2 or 3 so

the solution is

x = 0

y = 0

z = 47

[tex]2^0*3^0*7*47=329[/tex]

hope this helps

Answer:

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

Step-by-step explanation:

PLATO

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

Answer:

10.3 meters.

Step-by-step explanation:

From Triangle ABC

[tex]\tan 29^\circ =\dfrac{6.3+x}{h} \\h \tan 29^\circ=6.3+x\\h=\dfrac{6.3+x}{\tan 29^\circ}[/tex]

From Triangle ADC

[tex]\tan 19^\circ =\dfrac{x}{h} \\h \tan 19^\circ=x\\h=\dfrac{x}{\tan 19^\circ}[/tex]

Since the values of h are the same

[tex]\dfrac{x}{\tan 19^\circ}=\dfrac{6.3+x}{\tan 29^\circ}\\\\x\tan 29^\circ=\tan 19^\circ(6.3+x)\\x\tan 29^\circ=6.3\tan 19^\circ+x\tan 19^\circ\\x\tan 29^\circ-x\tan 19^\circ=6.3\tan 19^\circ\\x(\tan 29^\circ-\tan 19^\circ)=6.3\tan 19^\circ\\x=\dfrac{6.3\tan 19^\circ}{\tan 29^\circ-\tan 19^\circ} \\x=10.3$ meters (to the nearest tenth of a meter)[/tex]

The height of the first balcony above stage level is 10.3 meters.

Answer:

y = 1/2x -3

x=-2 ⇒ y =  -4

x=-1 ⇒ y =  -3.5

x=0 ⇒ y =  -3

x=1 ⇒ y =  -2.5

x=2 ⇒ y = -2

Step-by-step explanation:

Hi, to answer this question we have to isolate y:

x - 2y = 6

-2y =6-x

y = (6-x)/-2

y = -3+1/2x

y = 1/2x -3  

Now, we have to create a table with the next values (see attachment)

x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4

x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5

x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3

x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5

x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2

Feel free to ask for more if needed or if you did not understand something.

Answer:

There are two ways to find the area of this triangle. One way is to do 19.4 * h / 2 and the other way is to do 17 * 9.4 / 2. Since these are equal we can write:

(19.4h) / 2 = (17 * 9.4) / 2

19.4h = 17 * 9.4  (Multiply the equation by 2 to get rid of the denominators)

h = 17 * 9.4 / 19.4 (Divide by 19.4)

h ≈ 8.2 (Simplify)

Answer:

Sammy delivered 10 pizzas to each party.

Step-by-step explanation:

34 pizzas - 4 pizzas

= 30 pizzas

30 pizzas/ 3 parties

= 10 pizzas per party

Answer:

Hey there!

Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.

He split these between three parties, thus each party received 10 pizzas.

Hope this helps :)

Answer:

See explanation below.

Step-by-step explanation:

A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.

In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: [tex]c^2 =a^2 +b^2[/tex] where c is the hypotenuse and a and b are the legs.

Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.

For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:

[tex]Diagonal^2=3^2 +4^2 \\Diagonal^2 = 9+16\\Diagonal^2 = 25\\Diagonal = \sqrt{25} \\Diagonal =5[/tex]

Therefore, in this case the diagonal would be 5 ft long.

Answer:

a

Step-by-step explanation:

Answer:

The values are :

Answer:

The sum of the interior angles of any polygon is (n-2)*180° (n being the number of sides) so for a triangle the sum of the interior angles is 180°. The sum of the interior and exterior angles is also 180°. To work out which sets are possible you subtract each number from 180° and then add all three answers together. If you get 180° then that set of numbers is possible. Using this method, you will find that the following sets can be the measures of the exterior angles of a triangle:

120°, 110°, 130°

120°, 120°, 120°

Step-by-step explanation:

Answer:

I hope it will help you......

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

Answer:

34%

Step-by-step explanation:

Acellus sux

Answer:

(2, 4)

Step-by-step explanation:

You can use a graphing calculator, and find the point where the lines intersect. Attached is the image.

Hope this helps! :)

Answer:

8c - 2

I just turned it in

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

now u can mark the other person as brainlyest

Step-by-step explanation:

Answer:

Dial it up : ring ring

=8:9

Step-by-step explanation:

From Dial it up= $16 per 2 gb.

ratio of gb : price

2:16

can be reduced to 1:8

this means that per each Gigabyte, you pay $8.

Ring Ring has plans of $9 per 1gb

ratio of gb to price is 1:9

And the ratio between the prices

of the companies is

Dial it up:ring ring

8:9

which means that in one company you get one gb for $8, while in the other company you get the same one gb for $9.

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

Answer:

32 hours and 65 minutes

Step-by-step explanation:

Answer:

The Answer is 33 hours and 5 minutes

Step-by-step explanation:

The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min

Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.

Step-by-step explanation:

Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.

Let y represent the number of ounces of Orange blossom green tea that she should use.

She wants to blend 16 ounces of the tea blend. It means that

x + y = 16

x = 16 - y

Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68

it means that

4.98x + 1.98y = 67.68- - - - - - - - - - -1

Substituting x = 16 - y into equation 1, it becomes

4.98(16 - y) + 1.98y = 67.68

79.68 - 4.98y + 1.98y = 67.68

- 4.98y + 1.98y = 67.68 - 79.68

- 3y = - 12

y = - 12/-3

y = 4

x = 16 - y = 16 - 4

x = 12

Answer:

b on edunuity 2020

Step-by-step explanation:

just took the quiz

Answer:

C

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

Answer:

(3,3)

Step-by-step explanation:

7x + 3y = 30

-2x + 3y= 3

Multiply the second equation by -1 and add together to eliminate y

7x + 3y = 30

2x - 3y= -3

---------------------

9x + 0y = 27

Divide by 9

9x/9 = 27/9

x = 3

Now find y

-2x+3y = 3

-2(3) +3y =3

-6 +3y = 3

Add 6 to each side

3y = 3+6

3y=9

Divide by 3

y = 3

Answer:

i. 6

ii. [tex]5\frac{5}{9}[/tex]

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=[tex]5\frac{5}{9}[/tex]

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3